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Finding the Third Proportional to 48,422 and 108,184

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Solution

The third proportional to 48,422 and 108,184 is: 241,703.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,422 : 108,184 = 108,184 : x
  2. Step 2: Convert to fraction form
    48,422/108,184 = 108,184/x
  3. Step 3: Cross multiply
    48,422x = 108,184 × 108,184
  4. Step 4: Simplify right side
    48,422x = 11,703,777,856
  5. Step 5: Solve for x
    x = 11,703,777,856/48,422
  6. Step 6: Final answer
    x = 241,703.73

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.